Classical-type characterizations of non-metrizable ${\rm ANE}(n)$-spaces
Volume 145 / 1994
Fundamenta Mathematicae 145 (1994), 243-259
DOI: 10.4064/fm_1994_145_3_1_243_259
Abstract
The Kuratowski-Dugundji theorem that a metrizable space is an absolute (neighborhood) extensor in dimension n iff it is $LC^{n-1} \& C^{n-1}$ (resp., $LC^{n-1}$) is extended to a class of non-metrizable absolute (neighborhood) extensors in dimension $n$. On this base, several facts concerning metrizable extensors are established for non-metrizable ones.
